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Simplifying 6x + 13 = 3x + 4 Reorder the terms: 13 + 6x = 3x + 4 Reorder the terms: 13 + 6x = 4 + 3x Solving 13 + 6x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x 13 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 3x = 4 + 0 13 + 3x = 4 Add '-13' to each side of the equation. 13 + -13 + 3x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 4 + -13 3x = 4 + -13 Combine like terms: 4 + -13 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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